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Finding the Fourth Proportional to 16,357.65, 22,573.67 and 9,284.19

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Solution

The fourth proportional to 16,357.65, 22,573.67 and 9,284.19 is: 12,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.65 : 22,573.67 = 9,284.19 : x
  2. Step 2: Convert to fraction form
    16,357.65/22,573.67 = 9,284.19/x
  3. Step 3: Cross multiply
    16,357.65x = 22,573.67 × 9,284.19
  4. Step 4: Simplify right side
    16,357.65x = 209,578,194.86
  5. Step 5: Solve for x
    x = 209,578,194.86/16,357.65
  6. Step 6: Final answer
    x = 12,812.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.